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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 388 · 40 questions
TalentJR

The method (Let it be x): Let x be the thing asked for. Write the other amounts using x. Turn the story into one equation. Open brackets, collect x on one side and numbers on the other, then divide. Check: put x back into the story.

NameDateTime takenScore ___ / 40
  1. 1.Saanvi has 9 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  2. 2.A pen costs ₹13 more than a pencil. 2 pens and 4 pencils cost ₹68 in all. What does one pencil cost (in ₹)?
  3. 3.Karan has 29 coins, all ₹5 and ₹2 coins, worth ₹127 in all. How many ₹5 coins are there?
  4. 4.A pen costs ₹5 more than a pencil. 6 pens and 5 pencils cost ₹162 in all. What does one pencil cost (in ₹)?
  5. 5.9 × ? + 5 = 23
  6. 6.I think of a number, multiply it by 4 and then add 12. The answer is 112. What is my number?
  7. 7.3 × ? + 14 = 59
  8. 8.I think of a number, multiply it by 6 and then add 33. The answer is 129. What is my number?
  9. 9.9 × ? + 20 = 146
  10. 10.I think of a number, multiply it by 6 and then take away 29. The answer is 109. What is my number?
  11. 11.Solve for x: 8(x + 9) = 6x + 80. What is x?
  12. 12.The length of a rectangle is 3 m more than its breadth. Its perimeter is 18 m. What is its breadth (in m)?
  13. 13.A pen costs ₹9 more than a pencil. 6 pens and 7 pencils cost ₹314 in all. What does one pencil cost (in ₹)?
  14. 14.A pen costs ₹12 more than a pencil. 3 pens and 5 pencils cost ₹180 in all. What does one pencil cost (in ₹)?
  15. 15.The length of a rectangle is 14 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  16. 16.Solve for x: 7(x + 6) = 2x + 82. What is x?
  17. 17.2 × ? + 9 = 17
  18. 18.Solve for x: 9(x + 9) = 8x + 92. What is x?
  19. 19.10 × ? − 14 = 206
  20. 20.I think of a number, multiply it by 6 and then add 32. The answer is 128. What is my number?
  21. 21.A pen costs ₹9 more than a pencil. 5 pens and 3 pencils cost ₹189 in all. What does one pencil cost (in ₹)?
  22. 22.The length of a rectangle is 2 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  23. 23.Arjun has 8 coins, all ₹5 and ₹2 coins, worth ₹22 in all. How many ₹5 coins are there?
  24. 24.I think of a number, multiply it by 6 and then add 12. The answer is 162. What is my number?
  25. 25.The length of a rectangle is 14 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  26. 26.Manav has 14 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  27. 27.A pen costs ₹3 more than a pencil. 4 pens and 7 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  28. 28.The length of a rectangle is 6 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  29. 29.3 × ? + 13 = 49
  30. 30.Ananya has 10 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?
  31. 31.A pen costs ₹5 more than a pencil. 6 pens and 6 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  32. 32.Rohan has 9 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  33. 33.Solve for x: 6(x + 1) = 3x + 9. What is x?
  34. 34.11 × ? − 8 = 47
  35. 35.9 × ? − 25 = 128
  36. 36.9 × ? − 29 = 79
  37. 37.I think of a number, multiply it by 9 and then add 17. The answer is 98. What is my number?
  38. 38.9 × ? − 9 = 189
  39. 39.Solve for x: 9(x + 7) = 5x + 75. What is x?
  40. 40.A pen costs ₹5 more than a pencil. 2 pens and 5 pencils cost ₹115 in all. What does one pencil cost (in ₹)?

Answer key

  1. 8
  2. 7
  3. 23
  4. 12
  5. 2
  6. 25
  7. 15
  8. 16
  9. 14
  10. 23
  11. 4
  12. 3
  13. 20
  14. 18
  15. 8
  16. 8
  17. 4
  18. 11
  19. 22
  20. 16
  21. 18
  22. 28
  23. 2
  24. 25
  25. 5
  26. 11
  27. 8
  28. 17
  29. 12
  30. 3
  31. 7
  32. 6
  33. 1
  34. 5
  35. 17
  36. 12
  37. 9
  38. 22
  39. 3
  40. 15

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